Sequences of Porous Sets and an Application to Kleinian Groups

被引：0
|
作者：
Lazowski, Andrew [1 ]
机构：
[1] Sacred Heart Univ, Dept Math, 5151 Pk Ave, Fairfield, CT 06825 USA
来源：
QUAESTIONES MATHEMATICAE | 2022年 / 45卷 / 07期
关键词：
Porosity; Kleinian groups; Hausdorff dimension; DIMENSION;
D O I：
10.2989/16073606.2021.1926369
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we show that the limit of a sequence of porous sets under Hausdorff convergence is also porous. This purely topological result is then applied to Kleinian group theory in order to construct a Kleinian group with exponent of convergence arbitrarily small and Hausdorff dimension of the limit set strictly less than two.
引用
收藏
页码：1013 / 1016
页数：4
相关论文
共 50 条
12345